Answer:
x=1 and x=0
Step-by-step explanation:
We need to find the points at which the graphs y = x^2 + x – 2 and y = 2x – 2 intercept.
We know that:
x^2 + x – 2 = 2x – 2
x^2 - x = 0
Factorizing:
x(x-1) = 0
Therefore, the solution to the system of equation is x=1 and x=0.
The answer is: "39 points" .
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Explanation:
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" x/ 50 = 78/100 " ; in which "x" equals the number of points needed.
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To solve for "x" ;
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Look at the denominators: 50 * (what value?) = 100.
→ "100 ÷ 50 = 2" .
→ So; "50 * 2 = 100" ;
So, let us look at the numerators:
x * 2 = 78 ;
↔ 2x = 72 ;
Divide each side of the equation by "2" ; to isolate "x" on one side of the equation ; and to solve for "x" ;
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→ 78 ÷ 2 = 39 ;
The answer is: "39 points" .
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Okay. The equation for a sphere's surface area is A = 4 * pi * r^2. Let's plug 5 in for r.
I got 314 cm^2 is the surface area, but it always helps to double check work! Hope this helps!
Answer:
.13.5%
Step-by-step explanation:
The probability that a student will receive a grade between 74 and 76 is calculated as follows:
µ+2σ=70+2(2)=70+4=74
µ+3σ=70+3(2)=70+6=76
From the above empirical rule it can be observed that 13.5% of observations fall in between 1 and 2 standard deviations above the mean.
Therefore, the probability that a student will receive a grade between 74 and 76 is 13.5%.
Thus, the correct options is A.13.5%.
